Question

As an industrial psychologist, you have been hired by a large hospital to automate the admitting procedure and reduce the admission time. Previously, population data indicates that it took an average of 37 minutes to admit each patient, with a population standard deviation of 9 minutes. You create a new computerized procedure and find that your automated procedure takes an average of 34.5 minutes for the 31 patients in your pilot study.

1. What is the standard error of the mean?

Answer 1

Solution :

Given that,

mean = $\mu$ = 37

standard deviation = $\sigma$ = 9

n = 31

_{$\bar x$} = 34.5

$\sigma$_{$\bar x$} = $\sigma$ / $\sqrt$ n = 9 / $\sqrt$ 31 = 1.6164